Mikhail Ignatev
- Associate Professor:Faculty of Computer Science / Big Data and Information Retrieval School
- Associate Professor:Faculty of Mathematics
- Senior Research Fellow:Faculty of Mathematics / HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics
- Mikhail Ignatev has been at HSE University since 2023.
Education and Degrees
- 2010
Candidate of Sciences* (PhD)
St Petersburg State University - 2007
Degree in Mathematics
Samara State University
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Courses (2023/2024)
- Algebra (Bachelor’s programme; Faculty of Computer Science; 1 year, 4 module)Rus
Calculus (Bachelor’s programme; Faculty of Computer Science; field of study "01.03.02. Прикладная математика и информатика", field of study "01.03.02. Прикладная математика и информатика"; 1 year, 1-4 module)Rus
- Discrete Mathematics (Bachelor’s programme; Faculty of Computer Science; 1 year, 1-3 module)Rus
- Introduction to Homotopical Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
Linear Algebra and Geometry (Bachelor’s programme; Faculty of Computer Science; field of study "01.03.02. Прикладная математика и информатика", field of study "01.03.02. Прикладная математика и информатика"; 1 year, 1-4 module)Rus
- Research Seminar "Reflection Groups" (Optional course (faculty); 4 module)Rus
- Smooth Manifolds (Bachelor’s programme; Faculty of Mathematics; 3 year, 1-4 module)Rus
- Smooth Manifolds (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Publications13
- Article Ignatev Mikhail, Penkov I. Automorphism groups of ind-varieties of generalized flags // Transformation Groups. 2022 doi
- Article Mikhail V. Ignatev, Surkov M. A. Rook placements in G2 and F4 and associated coadjoint orbits // Communications in Mathematics. 2022. Vol. 30. No. 2. P. 129-149. doi
- Article Ignatyev Mikhail, Kaygorodov I., Popov Y. The geometric classification of 2-step nilpotent algebras and applications // Revista Matemática Complutense. 2022. Vol. 35. No. 3. P. 907-922. doi
- Article Mikhail V. Ignatyev, Shevchenko A. A. Centrally generated primitive ideals of U(n) for exceptional types // Journal of Algebra. 2021. Vol. 565. P. 627-650. doi
- Article Ignatev Mikhail V. Gradedness of the set of rook placements in An−1 // Communications in Mathematics. 2021. Vol. 29. No. 2. P. 179-197. doi
- Article Ignatyev Mikhail, Petukhov A. The orbit method for locally nilpotent infinite-dimensional Lie algebras // Journal of Algebra. 2021. Vol. 585. P. 501-557. doi
- Article M. V. Ignatyev, Penkov I. Ind-varieties of generalized flags: a survey // Journal of Mathematical Sciences. 2020. Vol. 248. P. 255-302. doi
- Article Ignatyev Mikhail V., Shevchenko A. A. On tangent cones to Schubert varieties in type E // Communications in Mathematics. 2020. Vol. 28. No. 2. P. 179-197. doi
- Article M. V. Ignatyev. Centrally generated primitive ideals of U(n) in types B and D // Transformation Groups. 2019. Vol. 24. P. 1067-1093. doi
- Chapter Mikhail V. Ignatyev. On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case, in: Representations and Nilpotent Orbits of Lie Algebraic Systems. In Honour of the 75th Birthday of Tony Joseph Vol. 330. Switzerland : Birkhauser/Springer, 2019. doi P. 331-355. doi
- Article Ignatyev Mikhail V., Penkov I. Infinite Kostant cascades and centrally generated ideals of U (n) in types A∞ and C∞ // Journal of Algebra. 2016. Vol. 447. P. 109-134. doi
- Chapter Ignatyev Mikhail V., Penkov I., Wolf J. A. Real Group Orbits on Flag Ind-Varieties of SL(∞,C), in: Lie Theory and Its Applications in Physics. Varna, Bulgaria, June 2015 Vol. 191. Springer, 2016. doi doi
- Article Ignatyev Mikhail V., Shevchenko A. A., Bochkarev M. A. Tangent cones to Schubert varieties in types An, Bn and Cn // Journal of Algebra. 2016. Vol. 465. P. 259-286. doi